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Finding the Third Proportional to 30,042 and 62,187

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Solution

The third proportional to 30,042 and 62,187 is: 128,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042 : 62,187 = 62,187 : x
  2. Step 2: Convert to fraction form
    30,042/62,187 = 62,187/x
  3. Step 3: Cross multiply
    30,042x = 62,187 × 62,187
  4. Step 4: Simplify right side
    30,042x = 3,867,222,969
  5. Step 5: Solve for x
    x = 3,867,222,969/30,042
  6. Step 6: Final answer
    x = 128,727.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.